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Finding the Fourth Proportional to 132.32, 196.93 and 131.92

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Solution

The fourth proportional to 132.32, 196.93 and 131.92 is: 196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.32 : 196.93 = 131.92 : x
  2. Step 2: Convert to fraction form
    132.32/196.93 = 131.92/x
  3. Step 3: Cross multiply
    132.32x = 196.93 × 131.92
  4. Step 4: Simplify right side
    132.32x = 25,979.01
  5. Step 5: Solve for x
    x = 25,979.01/132.32
  6. Step 6: Final answer
    x = 196.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.